Advances in Differential Equations

Existence and classification of critical points for nondifferentiable functions

Roberto Livrea and Salvatore A. Marano

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Abstract

A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max-generated critical points in such a framework are then pointed out.

Article information

Source
Adv. Differential Equations, Volume 9, Number 9-10 (2004), 961-978.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867910

Mathematical Reviews number (MathSciNet)
MR2097502

Zentralblatt MATH identifier
1100.58008

Subjects
Primary: 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)
Secondary: 47J30: Variational methods [See also 58Exx] 49J35: Minimax problems

Citation

Livrea, Roberto; Marano, Salvatore A. Existence and classification of critical points for nondifferentiable functions. Adv. Differential Equations 9 (2004), no. 9-10, 961--978. https://projecteuclid.org/euclid.ade/1355867910


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